{"status": "success", "data": {"description_md": "Camila writes down five positive integers. The unique mode of these integers is $2$ greater than their median, and the median is $2$ greater than their arithmetic mean. What is the least possible value for the mode?\n\n$\\textbf{(A)}\\ 5 \\qquad\\textbf{(B)}\\ 7 \\qquad\\textbf{(C)}\\ 9 \\qquad\\textbf{(D)}\\ 11 \\qquad\\textbf{(E)}\\ 13$", "description_html": "<p>Camila writes down five positive integers. The unique mode of these integers is  <span class=\"katex--inline\">2</span>  greater than their median, and the median is  <span class=\"katex--inline\">2</span>  greater than their arithmetic mean. What is the least possible value for the mode?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 5 \\qquad\\textbf{(B)}\\ 7 \\qquad\\textbf{(C)}\\ 9 \\qquad\\textbf{(D)}\\ 11 \\qquad\\textbf{(E)}\\ 13</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2022 AMC 10B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10B_p11", "prev": "/problem/22_amc10B_p09"}}